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Algebra 1 REview Set #3/4sample1

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 

Which relation is a function?
a.
mc001-1.jpg
c.
mc001-3.jpg
b.
mc001-2.jpg
d.
mc001-4.jpg
 
 
Solve the open sentence and graph the solution.
 

 2. 

|s – 7| = 2
a.
s = –5 and s = –9
mc002-1.jpg
c.
s = 9 and s = –5
mc002-3.jpg
b.
s = –9 and s = 5
mc002-2.jpg
d.
s = 9 and s = 5
mc002-4.jpg
 
 
Express the number in scientific notation.
 

 3. 

0.0003054
a.
mc003-1.jpg
c.
mc003-3.jpg
b.
mc003-2.jpg
d.
mc003-4.jpg
 
 
Express the number in the statement in standard notation.
 

 4. 

The Library of Congress collection includes mc004-1.jpg maps.
a.
480,000
c.
480,000,000
b.
4,800,000
d.
48,000,000
 
 
Simplify. Assume that no denominator is equal to zero.
 

 5. 

mc005-1.jpg
a.
mc005-2.jpg
c.
mc005-4.jpg
b.
mc005-3.jpg
d.
mc005-5.jpg
 
 
Find the degree of the polynomial.
 

 6. 

mc006-1.jpg
a.
12
c.
10
b.
8
d.
11
 
 
Find the sum or difference.
 

 7. 

mc007-1.jpg
a.
mc007-2.jpg
c.
mc007-4.jpg
b.
mc007-3.jpg
d.
mc007-5.jpg
 
 
Graph the function.
 

 8. 

mc008-1.jpg
a.
mc008-6.jpg
c.
mc008-8.jpg
b.
mc008-7.jpg
d.
mc008-9.jpg
 
 
Write the equation of the axis of symmetry.
 

 9. 

mc009-1.jpg
a.
x = mc009-5.jpg
c.
x = mc009-7.jpg
b.
x = mc009-6.jpg
d.
x = mc009-8.jpg
 
 
Graph the function. State the y-intercept.
 

 10. 

mc010-1.jpg
a.
mc010-4.jpg
y-intercept = –4
c.
mc010-6.jpg
y-intercept = 0
b.
mc010-5.jpg
y-intercept = –4
d.
mc010-7.jpg
y-intercept = 5
 
 
Graph the equation.
 

 11. 

mc011-1.jpg
a.
mc011-2.jpg
c.
mc011-4.jpg
b.
mc011-3.jpg
d.
mc011-5.jpg
 

Short Answer
 
 
Evaluate. Express the result in scientific notation.
 

 12. 

mc012-1.jpg
 
 
Find the sum or difference.
 

 13. 

mc013-1.jpg
 
 
Solve the equation.
 

 14. 

mc014-1.jpg
 

 15. 

mc015-1.jpg
 

 16. 

mc016-1.jpg
 

 17. 

mc017-1.jpg
 

 18. 

mc018-1.jpg
 

 19. 

mc019-1.jpg
 
 
Find the product.
 

 20. 

mc020-1.jpg
 

 21. 

mc021-1.jpg
 

 22. 

mc022-1.jpg
 

 23. 

mc023-1.jpg
 
 
Find the factors of the number. Then classify the number as prime or composite.
 

 24. 

mc024-1.jpg
 
 
Find the GCF of the set of monomials.
 

 25. 

36, 72, 90
 
 
Factor the polynomial.
 

 26. 

mc026-1.jpg
 

 27. 

mc027-1.jpg
 

 28. 

mc028-1.jpg
 
 
Factor the trinomial, if possible. If the trinomial cannot be factored using integers, write prime.
 

 29. 

mc029-1.jpg
 
 
Factor the polynomial, if possible. If the polynomial cannot be factored, write prime.
 

 30. 

mc030-1.jpg
 
 
Solve the equation by using the Quadratic Formula. Round to the nearest tenth if necessary.
 

 31. 

mc031-1.jpg
 
 
Determine whether the data in the table display exponential behavior. Explain why or why not.
 

 32. 


x
3
6
9
12
y
1
2
4
8
 

 33. 


x
3
1
-1
-3
y
1
2
3
4
 
 
Graph the variation if y varies inversely as x.
 

 34. 

mc034-1.jpg when mc034-2.jpg
 

 35. 

Simplify the expression.
mc035-1.jpg
 

 36. 

Simplify the expression. State the excluded values of the variables.
mc036-1.jpg
 
 
Find the product and simplify.
 

 37. 

mc037-1.jpg
 

 38. 

mc038-1.jpg
 

 39. 

mc039-1.jpg
 

 40. 

Find the quotient.
mc040-1.jpg
 
 
Find the quotient.
 

 41. 

mc041-1.jpg
 

 42. 

mc042-1.jpg
 

 43. 

Find the sum.
mc043-1.jpg
 

 44. 

Find the sum.
mc044-1.jpg
 

 45. 

Find the difference.
mc045-1.jpg
 

 46. 

Find the difference.
mc046-1.jpg
 
 
Write the mixed expression as a rational expression.
 

 47. 

mc047-1.jpg
 

 48. 

Solve the equation. State any extraneous solutions.
mc048-1.jpg
 

 49. 

Solve the equation. State any extraneous solutions.
mc049-1.jpg
 

 50. 

Solve the equation. State any extraneous solutions.
mc050-1.jpg
 
 
Express the relation as a table and a graph. Then determine the domain and range.
 

 51. 

{(4, 0), (3, 2), (3, 0), (–3, –2), (4, –1)}
 

 52. 

{(5, –2), (4, 4), (2, –3), (0, 5), (1, 5)}
 
 
Express the relation shown in each table, mapping, or graph as a set of ordered pairs. Then write the inverse of the relation.
 

 53. 


x
y
3
5
4
2
3
3
2
6
 

 54. 


mc054-1.jpg
 
 
Find the solution set for the equation, given the replacement set.
 

 55. 

y = 7x + 6; {(5, 41), (6, 44), (4, 39), (7, 42)}
 

 56. 

x + 5y = –2; {(7, 1.6), (5, 0.6), (6, 3.6), (4, –1.4)}
 
 
Graph the equation.
 

 57. 

mc057-1.jpg
 

 58. 

mc058-1.jpg, find mc058-2.jpg.
 

 59. 

If mc059-1.jpg, find mc059-2.jpg.
 
 
Find the slope of the line that passes through the pair of points.
 

 60. 

(–3, –2), (5, 4)
 

 61. 

What is the slope of the line that passes through (a, b) and (–a, b).
 

 62. 

A board is leaning against a building so that the top of the board reaches a height of 18 feet. The bottom of the board is on the ground 4 feet away from the wall. What is the slope of the board as a positive number?
 

 63. 

A conveyor belt runs between floors of a building as pictured below. Find the slope of the belt as a positive number.
mc063-1.jpg
 
 
Write a direct variation equation that relates x and y. Assume that y varies directly as x. Then solve.
 

 64. 

If y = 5 when x = –10, find y when x = 1.
 
 
Write a direct variation equation that relates the variables. Then graph the equation.
 

 65. 

Alex can ride his bike at a rate of 7 miles per hour. His total distance in t hours is d.
 
 
Write an equation of the line with the given slope and y-intercept
 

 66. 

slope: mc066-1.jpg, y-intercept: –3
 

 67. 

slope: 0.8, y-intercept: 10
 
 
Beach Bike Rentals charges $5.00 plus $0.20 per mile to rent a bicycle.
 

 68. 

Write an equation for the total cost C of renting a bicycle and riding for m miles.
 

 69. 

Graph the equation needed to represent the cost at Beach Bike Rentals.
 
 
Write an equation of the line that passes through the pair of points.
 

 70. 

mc070-1.jpg
 

 71. 

mc071-1.jpg
 
 
Write each equation in standard form.
 

 72. 

y + 3 = mc072-1.jpg(x + 9)
 
 
Write the equation in slope-intercept form.
 

 73. 

mc073-1.jpg
 
 
Write the slope-intercept form of an equation of the line that passes through the given point and is parallel to the graph of the equation.
 

 74. 

(5, –1), y = mc074-1.jpgx + 1
 
 
Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or negative correlation, describe its meaning in the situation.
 

 75. 


People Entering Amusement Park
mc075-1.jpg
Time (minutes)
 
 
Solve the inequality. Graph the solution on a number line.
 

 76. 

mc076-1.jpg
 
 
Solve the inequality.
 

 77. 

mc077-1.jpg
 

 78. 

mc078-1.jpg
 

 79. 

mc079-1.jpg
 
 
Graph the inequality.
 

 80. 

mc080-1.jpg
 

 81. 

mc081-1.jpg
 
 
Determine whether the relation is a function.
 

 82. 

sa082-1.jpg
 

 83. 

sa083-1.jpg
 

 84. 

sa084-1.jpg
 



 
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